A string is wound around a uniform disk of radius R and mass M(think of a yo-yo). The disk is released from rest with the stringvertical and its top end tied to a fixed bar. Distance h representsthe distance of the string from the fixed bar to the disk. Show that, a) the tension in the string is one-third the weight of thedisk b) the magnitude of the acceleration of the center of mass is2g/3, and c) the speed of the center of mass is (4gh/3)^1/2 after thedisk has descended through distance h. Verify your answer (c) usingthe energy approach.

A string is wound around a uniform disk of radius R and mass M(think of a yo-yo). The disk is released from rest with the stringvertical and its top end tied to a fixed bar. Distance h representsthe distance of the string from the fixed bar to the disk. Show that, a) the tension in the string is one-third the weight of thedisk b) the magnitude of the acceleration of the center of mass is2g/3, and c) the speed of the center of mass is (4gh/3)^1/2 after thedisk has descended through distance h. Verify your answer (c) usingthe energy approach.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 78P: Review. A string is wound around a uniform disk of radius R and mass M. The disk is released from...

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